Numerical approximation of the potential in the two-dimensional inverse scattering problem
| Autor: | Barceló, Juan Antonio, Castro, Carlos, Reyes, Juan Manuel |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/0266-5611/32/1/015006 |
| Popis: | We present an iterative algorithm to compute numerical approximations of the potential for the Schr\"odinger operator from scattering data. Four different types of scattering data are used as follows: fixed energy, fixed incident angle, backscattering and full data. In the case of fixed energy, the algorithm coincides basically with the one recently introduced by Novikov in [Novikov, R. G., "An iterative approach to non-overdetermined inverse scattering at fixed energy", Sbornik: Mathematics 206 (1), 120-134 (2015)], where some estimates are obtained for large energy scattering data. The numerical results that we present here are consistent with these estimates. Comment: 21 pages, This version addresses the recent work [Novikov, R. G., "An iterative approach to non-overdetermined inverse scattering at fixed energy", Sbornik: Mathematics 206 (1), 120-134 (2015)] by Novikov on the fixed energy inverse scattering problem |
| Databáze: | arXiv |
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